/** @file time_uvar_gcd.cpp
 *
 *  Time the different GCD algorithms. */

/*
 *  GiNaC Copyright (C) 1999-2014 Johannes Gutenberg University Mainz, Germany
 *
 *  This program is free software; you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
 *  the Free Software Foundation; either version 2 of the License, or
 *  (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with this program; if not, write to the Free Software
 *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 */

#include "ginac.h"
#include "timer.h"
#include "error_report.h"
#include "test_runner.h"
#include "polynomial/remainder.h"
#include "polynomial/upoly.h"
#include "polynomial/mod_gcd.h"
using namespace GiNaC;

#include <string>
#include <cassert>
#include <iostream>

static const std::string p1_srep("\
-936639990+26248623452*x^47-30174373832*x^46-19627087954*x^45 \
+23532819511*x^24-15331409214*x^23-5892518210*x^22-2954269379*x^28 \
-35110566664*x^27-4846605217*x^26-31276301429*x^25-19509035058*x^44 \
+18467021749*x^43+18517327396*x^42-3435911855*x^50-272899085*x^49 \
+1530941050*x^48+4507833875*x+10918084347*x^21+7814495607*x^20 \
+23471621465*x^19-11157075535*x^18-11580405260*x^41-12162845828*x^39 \
+12293848678*x^10-14679334842*x^9+17276957972*x^8+6436149609*x^7 \
-8608995580*x^3-178435747*x^2+21474090980*x^17-3966988360*x^16 \
-1330154020*x^15-13410537172*x^14-31038290506*x^51+17469329915*x^52 \
-15282350857*x^53-11990574398*x^54+4255578378*x^55+2134905268*x^56 \
+38375274669*x^57+9183261708*x^58+23467669465*x^59-5872201799*x^60 \
+44704228721*x^61+27682281779*x^62-17204774085*x^63-7544450778*x^64 \
-319408644*x^65+36034512058*x^66-6744628155*x^67+1363904895*x^68 \
+22219362387*x^69+4275663006*x^70+14038262112*x^71+25591410149*x^72 \
+9385606040*x^73-4745283802*x^74+11598735101*x^75-2508504600*x^76 \
+11912265375*x^77+6624766926*x^78-4828562936*x^79+16636451249*x^80 \
-9654281719*x^81+1913801599*x^82+2030662033*x^83-5474416933*x^84 \
+11196778577*x^85+512268187*x^86-1029159530*x^87+1890708440*x^88 \
+142491112*x^89-1261023993*x^90+3580061526*x^91-967823912*x^92 \
+2292551912*x^93-3890383043*x^94-7104898913*x^95+3692350529*x^96 \
-933592128*x^97+1199649580*x^98-227816977*x^99-12217636980*x^40 \
+26794929142*x^38-41046742100*x^37+8432066353*x^36-6214147095*x^35 \
+741141010*x^100-6270990007*x^34-6863205889*x^33-38388107386*x^32 \
-561107347*x^13-6663332709*x^12+5507703343*x^11+11614165303*x^31 \
-4503859503*x^30+26050790733*x^29+1788729074*x^6+2123912816*x^5- \
2542140060*x^4\
");

static const std::string p2_srep("\
1882371920-30937311949*x^47+6616907060*x^46-7420079075*x^45-28689993421*x^24 \
+5544486596*x^23+7149046134*x^22+29115114125*x^28-7204610489*x^27 \
-214559874*x^26+3363043648*x^25-6061422988*x^44-85814533599*x^43 \
-5548876327*x^42+20531692560*x^50-23673866858*x^49+1553111326*x^48 \
-7521320830*x-19801882818*x^21+7056872613*x^20-8039690791*x^19 \
+11049483001*x^18+21957440404*x^41+18566882873*x^39-1088265300*x^10 \
+29943249139*x^9+3160532878*x^8+110919258*x^7+1584505491*x^3-2133682609*x^2 \
+11700952246*x^17-12424469513*x^16-426278523*x^15+7561875663*x^14 \
+19494168654*x^51-8174921854*x^52+18073788685*x^53-48441925739*x^54 \
-3850452489*x^55-17753230977*x^56-44973929094*x^57+7332053562*x^58 \
-18246235652*x^59+9980611956*x^60+6961020716*x^61-3323333429*x^62 \
-20693764726*x^63+2577247520*x^64-22463329638*x^65-13528331424*x^66 \
+440594870*x^67+778770195*x^68+24497174109*x^69-11578701274*x^70 \
-217623403*x^71+16461882236*x^72-6001481047*x^73-5750277357*x^74 \
-16262001424*x^75+13760397067*x^76+12678193001*x^77+29675566382*x^78 \
+1889202286*x^79+12672890141*x^80+26252749471*x^81+25061328813*x^82 \
+20393397488*x^83-6344703601*x^84-12986831645*x^85+10287410396*x^86 \
+18964048763*x^87+9141433582*x^88+9742202475*x^89+1800283356*x^90 \
+9411879011*x^91+13562767020*x^92-3883570155*x^93+1190623161*x^94 \
+4638169279*x^95+10385086102*x^96+10263027507*x^97+5186524611*x^98 \
+1309311388*x^99+2485463829*x^40-14414308862*x^38-2750892631*x^37 \
-34230002076*x^36-21558061051*x^35+2789684836*x^100-9973372012*x^34 \
+12038293769*x^33-2280622009*x^32-14841292646*x^13+4463462090*x^12 \
+11039962159*x^11+20714527103*x^31+29530802947*x^30+4813620791*x^29 \
+8841198971*x^6-4237029618*x^5-1135211878*x^4");

static const std::string q1_srep_1("\
-96986421453*x^426-75230349764*x^425+128202397899*x^424+67687797741*x^423 \
+3024931260*x^422+43589211963*x^421+17028560437*x^420+9502389896*x^419 \
+4613252773*x^418+12194328527*x^417-57222260166*x^416+40667752907*x^415 \
+93728947357*x^414+35662883623*x^47-14000072723*x^46-9724148606*x^45 \
-368500426*x^174-66112223350*x^173-44075800265*x^172+7490450738*x^171 \
+51779005621*x^170-64020260063*x^169-35711451392*x^192-13811036693*x^191 \
+38422996693*x^190+78178593950*x^189-26765678624*x^188-36201354868*x^187 \
+2322225247*x^24-4088975893*x^23-5491427592*x^22+66441957259*x^333 \
+132975753131*x^332-25949991451*x^331-18528608186*x^330+34867243557*x^329 \
-86291867505*x^328-23705975211*x^327+28864997607*x^326-29169139957*x^325 \
-72081734233*x^324+16339897368*x^323-36285833017*x^322+38448532777*x^321 \
+5689122392*x^320-11755215572*x^113+27585680289*x^112+42744050328*x^111 \
-19842208161*x^110-15319380323*x^109-9901465464*x^108-5117699979*x^107 \
-46666019657*x^106-9394133585*x^105-6971615995*x^104+6471181832*x^114 \
-93545055409*x^347-52862770931*x^346-17176975268*x^345+102286955731*x^344 \
-108335379176*x^343-49965250837*x^342+70929683596*x^341+43502762174*x^340 \
-21623476978*x^339-48184795307*x^338+147075382031*x^337+2375821388*x^336 \
+73656068270*x^335-36587627572*x^334-46411968297*x^477+117867456111*x^476 \
+21597655248*x^475-96794140788*x^474+39647492898*x^473+34037992542*x^472 \
+46480360486*x^471-83731284596*x^470-95857281423*x^469+6999736667*x^468 \
-38822852477*x^467-130028027968*x^466-14942819105*x^465-44491532079*x^464 \
-136904650366*x^450+127351380760*x^449-127679332542*x^448-43163228644*x^447 \
+130723680563*x^446+20671214531*x^445+28594103126*x^444-20976472951*x^443 \
+51300798407*x^442-136736402258*x^441-70334716366*x^440-15000956055*x^439 \
-62750491292*x^438+80489844722*x^451-72300799704*x^373+85385725929*x^372 \
-36185314264*x^371+40354846070*x^370+100343908392*x^369-64625422713*x^368 \
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+4505982224*x^363-27138600773*x^362+33493048106*x^361-24851820772*x^28 \
-10244897195*x^27-4624820516*x^26-7148687043*x^25-31464114015*x^44 \
+4702632945*x^43+7767686263*x^42+42336900887*x^399+3102221349*x^398 \
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-55510698265*x^196+360107673*x^195+63114288079*x^194+47841450181*x^193 \
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-96354447711*x^357+74192188378*x^356-12722639577*x^355-5277964622*x^354 \
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static const std::string q1_srep_2("\
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-27386697676*x^913-11774383518*x^914-493156372*x^915+13331359952*x^916 \
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+7931022064");

static const std::string q2_srep_1("\
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static const std::string q2_srep_2("\
-14418681720*x^909-41227198785*x^910-10148524063*x^911+18686856429*x^912 \
-97172567422*x^913-9574103314*x^914-18076030731*x^915-28358519392*x^916 \
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+8217276211*x^965-5548816739*x^966+8580073344*x^967-16411223685*x^968 \
+7110424112*x^969-8924388605*x^970+20244682123*x^971+16962224189*x^972 \
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-5283058429*x^981-516240895*x^982-15317530637*x^983-11663251903*x^984 \
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-2336834864*x^993+2482449646*x^994-23487081*x^995+41345539*x^996 \
-1908649318*x^997-1563161986*x^998-3391442566*x^999-1975737484*x^1000");

static const std::string r1_srep_1("\
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-9541570627*x^24+12358437331*x^23-3840010930*x^22-26103658089*x^333 \
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-58165676134*x^343-68737381572*x^342-3907635479*x^341+14873150406*x^340 \
-5503004922*x^339-78473587467*x^338-54025110093*x^337-29151845013*x^336 \
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static const std::string r1_srep_2("\
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-34351203484*x^826-41719317981*x^827-120688936869*x^828-14489273602*x^829 \
+106470084813*x^830+41964660903*x^831+33403043858*x^832+151505022397*x^833 \
+87862913140*x^834+120445537076*x^835-98566276077*x^836+4697632177*x^837 \
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-51216881846*x^842-147550591892*x^843+26476191234*x^844+193153996499*x^845 \
-35927538398*x^846-6194176598*x^847-221667022042*x^848-14015578041*x^849 \
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-138256378354*x^854-132853825554*x^855+57482839352*x^856+34735643796*x^857 \
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-194358054372*x^870+18849309164*x^871-61004124650*x^872-89154730183*x^873 \
-180073144042*x^874+10857839862*x^875-11488914470*x^876-105388656993*x^877 \
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-73717395879*x^882-24727395241*x^883+6427407478*x^884+27774977309*x^885 \
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-68353373325*x^890-19660487923*x^891-199313228024*x^892+185922127103*x^893 \
-56927953551*x^894+60519873690*x^895+77728652690*x^896-105603952672*x^897 \
-63339878187*x^898-74519679962*x^899-45764977904*x^900+17864107983*x^901 \
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-109345484017*x^906+104654868950*x^907-961106931*x^908+31965621838*x^909 \
-6900915942*x^910+39708679388*x^911+165967464883*x^912-13498312464*x^913");

static const std::string r1_srep_3("\
-167799799320*x^914-131936289889*x^915+89614618044*x^916+85016248695*x^917 \
-79954038780*x^918-209591894768*x^919-71794807620*x^920-23283477500*x^921 \
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-149308311610*x^1195 \
");

static const std::string r2_srep_1("\
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-121525059139*x^418+41062828633*x^417-9120088623*x^416+38127915034*x^415 \
-53332525642*x^414+10667345234*x^47+20250868505*x^46+28797169308*x^45 \
-43235989359*x^174+38758957270*x^173-29243855534*x^172-46185370245*x^171 \
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static const std::string r2_srep_2("\
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static const std::string r2_srep_3("\
-13743860146*x^914+23552943848*x^915-138242276800*x^916-88277644417*x^917 \
+47255373796*x^918-31977886816*x^919-115363640056*x^920+25243901225*x^921 \
-105295249154*x^922-36136467784*x^923+52453236830*x^924+80777038439*x^925 \
+44837049142*x^926-55254888309*x^927-68234489848*x^928-92165707190*x^929 \
-179410896808*x^930-6303111717*x^931-80199610328*x^932-15380092970*x^933 \
-33938724551*x^934+17931510779*x^935-96931631295*x^936-48687303542*x^937 \
-19820879797*x^938+37877911542*x^939-143694146707*x^940+113317058619*x^941 \
+20429285363*x^942-171716251844*x^943-84741152883*x^944-40418477950*x^945 \
+78524492177*x^946+22451226106*x^947-92140592429*x^948-224175995509*x^949 \
-94751427805*x^950-40689590157*x^951-160025438504*x^952+101043700206*x^953 \
+174023744486*x^954-42827761752*x^955-14794443421*x^956+243752790124*x^957 \
+61496900473*x^958-36377552247*x^959-58121282080*x^960+144994090046*x^961 \
+92486830236*x^962-149072168741*x^963+50911986581*x^964+63775356240*x^965 \
+97687261817*x^966-46280177159*x^967-7688043430*x^968-39472067128*x^969 \
+73201769053*x^970-58880360399*x^971+170840419458*x^972-54292746092*x^973 \
-103821886252*x^974-83322943096*x^975+76066200343*x^976+165315085358*x^977 \
+5424131554*x^978-67459706942*x^979+159323933212*x^980-107491571445*x^981 \
-55118253633*x^982-17278583408*x^983+19225845993*x^984-114988147351*x^985 \
-79315655096*x^986+11088007172*x^987-60859418995*x^988-145858383656*x^989 \
+113692045711*x^990-75018497310*x^991-365437868380*x^992+35092192414*x^993 \
-110082408015*x^994+51647441793*x^995-184568312640*x^996+99653476797*x^997 \
+38507247220*x^998+123929024786*x^999+172382798537*x^1000-15653697225*x^1034 \
-40712974939*x^1035-84481983259*x^1036-183059486597*x^1037+306329739993*x^1038 \
-86809010253*x^1039-193596563569*x^1040+77147957893*x^1041+71846054998*x^1042 \
-37049094394*x^1043-44803582029*x^1044+15081867854*x^1045-216710094742*x^1046 \
-47796798084*x^1047-96211690279*x^1048-189635981392*x^1049-88214456018*x^1050 \
+63138650430*x^1051-141086932675*x^1052+179045473644*x^1053+152961766238*x^1054 \
+42049851016*x^1055-12923309793*x^1056+77822981644*x^1057+49606124226*x^1058 \
+64949849127*x^1059+139832839733*x^1060-79078674035*x^1061-63872053437*x^1062 \
+5880968210*x^1063+77059684059*x^1064+118861193169*x^1065-67361913998*x^1066 \
-170366309445*x^1067-34162286067*x^1068-69460395006*x^1069+97779302218*x^1070 \
+216724014279*x^1071+58118563580*x^1072-206554378418*x^1073+3910530696*x^1074 \
+9692241373*x^1075+250051138068*x^1076-24386215253*x^1077-109899509519*x^1078 \
-3113733500*x^1079+71737845657*x^1080+65818722190*x^1081-42083406251*x^1082 \
+114681977929*x^1083+111087402900*x^1084-36208556668*x^1085+67189586885*x^1086 \
-95415909459*x^1087-39930935857*x^1088+61175159309*x^1089-119992012339*x^1090 \
+85494280676*x^1091-141608604262*x^1092+17013318480*x^1093-38635221143*x^1094 \
-48453647574*x^1095+21051206372*x^1096-158416995981*x^1097+70402137413*x^1098 \
+49633932323*x^1099-86748492368*x^1100+104553685254*x^1101-63949144239*x^1102 \
+419956495*x^1103+16552807277*x^1104-74328747961*x^1105+75400756459*x^1106 \
+34917686845*x^1107+37471578275*x^1108-73580767536*x^1109+77174108880*x^1110 \
+148715919329*x^1111-66428402497*x^1112+165172263241*x^1113-26783742086*x^1114 \
+190088576166*x^1115+54515121646*x^1116+101483331390*x^1117-108689512350*x^1118 \
+53249730955*x^1119+72222967172*x^1120-5526562207*x^1121-207861618362*x^1122 \
+39979297711*x^1123-131526399820*x^1124+89213762352*x^1125-62167567794*x^1126 \
-30249775241*x^1127-2196583404*x^1128+15230073656*x^1129+60729041258*x^1130 \
+88532730048*x^1131+10217062509*x^1132-60718111019*x^1133-57474242537*x^1134 \
+79431153433*x^1135+80845158176*x^1136+97779807512*x^1137-56322792891*x^1138 \
-164156429512*x^1139-19878255222*x^1140+78282404374*x^1141+98799976154*x^1142 \
-95492650246*x^1143+93751186963*x^1144-4498456358*x^1145-65869796255*x^1146 \
+169995598057*x^1147-50203042871*x^1148+109603182180*x^1149-111413589428*x^1150 \
+98314563037*x^1151+67616351563*x^1152+181622227355*x^1153+20284657424*x^1154 \
-61079727667*x^1155+147106285121*x^1156-17573539453*x^1157-30144779725*x^1158 \
-2161067542*x^1159+39349893244*x^1160-27707519713*x^1161+94277219419*x^1162 \
+134402588238*x^1163+179705148708*x^1164-162624387842*x^1165-67400319401*x^1166 \
+131747136365*x^1167-38125149979*x^1168-67302505083*x^1169-70487051743*x^1170 \
+8837205881*x^1171+83316371332*x^1172+50807693411*x^1173-52447034078*x^1174 \
-14301265462*x^1175-147487671006*x^1176-23113128499*x^1177+8300673447*x^1178 \
+56955833747*x^1179-12038131262*x^1180+47065770458*x^1181-157303901005*x^1182 \
+37559510536*x^1183-148257314211*x^1184+34849913846*x^1185+45007732808*x^1186 \
-115806825639*x^1187-161598801109*x^1188-18347919490*x^1189+60028556357*x^1190 \
+30303822679*x^1191+161206159164*x^1192-1888494396*x^1193-4658087012*x^1194 \
-61288806540*x^1195");

class sym_finder : public visitor, public symbol::visitor
{
protected:
	inline void visit(const symbol& s)
	{
		found.insert(s);
	}
public:
	sym_finder() { }
	exset found;
};

static void ex2upoly(upoly& p, const ex& e)
{
	sym_finder sfinder;
	e.traverse(sfinder);
	assert(sfinder.found.size() == 1);
	const ex x = *(sfinder.found.begin());
	assert(e.ldegree(x) >= 0);
	p.resize(e.degree(x) + 1);
	for (int i = e.ldegree(x); i <= e.degree(x); ++i) {
		const numeric n = ex_to<numeric>(e.coeff(x, i));
		p[i] = cln::the<cln::cl_I>(n.to_cl_N());
	}
}

static void
read_srep(ex& e1, ex& e2, upoly& a, upoly& b, const std::string& s1, const std::string& s2)
{
	parser reader;
	e1 = reader(s1);
	e2 = reader(s2);
	a.resize(e1.nops());
	b.resize(e2.nops());
	ex2upoly(a, e1);
	ex2upoly(b, e2);
	canonicalize(a);
	canonicalize(b);
}

namespace GiNaC
{
extern upoly sr_gcd(const upoly& a, const upoly& b);
extern bool heur_gcd_z(upoly& g, const upoly& a, const upoly& b);
}


/// Check if polynomial @a g divides polynomials @a a and @a b
/// Used as GCD sanity check
static bool
gcd_sanity_check(const upoly& g, const upoly& a, const upoly& b,
	         const std::string& label)
{
	upoly r1, r2;
	remainder_in_ring(r1, a, g);
	cbug_on(!r1.empty(), "bug: " << label << " : gcd g = \"" << g <<
		"\"does not divide a =\"" << a << "\"");

	remainder_in_ring(r2, b, g);
	cbug_on(!r2.empty(), "bug: " << label << " : gcd g = \"" << g <<
		"\"does not divide b =\"" << b << "\"");
	return true;
}

struct mod_gcd_test
{
	const upoly& a, b;
	upoly g;

	inline void run()
	{
		mod_gcd(g, a, b);
	}

	bool check() const
	{
		gcd_sanity_check(g, a, b, std::string("mod_gcd"));
		return true;
	}

	void print_result(const double t) const
	{
		std::streamsize display_digits = std::cout.precision(2);
		std::cout << std::scientific;
		std::cout << "mod_gcd\t\t: " << g.size() << " " << t << std::endl;
		std::cout.precision(display_digits);
	}

	mod_gcd_test(const upoly& a_, const upoly& b_) : a(a_), b(b_),
		g(std::min(degree(a_), degree(b_)))
	{ }
};

struct heur_gcd_test
{
	const upoly& a, b;
	upoly g;
	const upoly& g_check;
	bool found;

	inline void run()
	{
		found = heur_gcd_z(g, a, b);
	}

	bool check() const
	{
		if (!found)
			return false;

		gcd_sanity_check(g, a, b, std::string("heur_gcd"));
		cbug_on(g != g_check, 
			"modular and heuristic GCD disagree: " <<
			"a = \"" << a << "\", b = \"" << b << "\", " <<
			"mod_gcd = \"" << g_check << "\", " <<
			"heur_gcd = \"" << g << "\"");
		return true;
	}

	void print_result(const double t) const
	{
		if (!found)
			return;
		std::streamsize display_digits = std::cout.precision(2);
		std::cout << std::scientific;
		std::cout << "heur_gcd\t: " << g.size() << " " << t << std::endl;
		std::cout.precision(display_digits);
	}

	heur_gcd_test(const upoly& a_, const upoly& b_, const upoly& g_) :
		a(a_), b(b_), g(std::min(degree(a_), degree(b_))),
		g_check(g_), found(false)
	{ }
};
		

struct sr_gcd_test
{
	const upoly& a, b;
	const upoly& g_check;
	upoly g;
	
	sr_gcd_test(const upoly& a_, const upoly& b_, const upoly& g_) : 
		a(a_), b(b_), g_check(g_), g(std::min(degree(a_), degree(b_)))
	{ }

	inline void run()
	{
		g = sr_gcd(a, b);
	}

	bool check() const
	{
		gcd_sanity_check(g, a, b, std::string("sr_gcd"));
		cbug_on(g != g_check, 
			"modular and PRS GCD disagree: " <<
			"a = \"" << a << "\", b = \"" << b << "\", " <<
			"mod_gcd = \"" << g_check << "\", " <<
			"sr_gcd = \"" << g << "\"");
		return true;
	}

	void print_result(const double t) const
	{
		std::streamsize display_digits = std::cout.precision(2);
		std::cout << std::scientific;
		std::cout << "sr_gcd:\t\t: " << g.size() << " " << t << std::endl;
		std::cout.precision(display_digits);
	}
};

struct ex_sr_gcd_test
{
	ex a, b;
	ex g;
	const upoly& g_check;
	unsigned options;
	ex_sr_gcd_test(const ex& a_, const ex& b_, const upoly& g_) :
		a(a_), b(b_), g(0), g_check(g_), options(gcd_options::no_heur_gcd |
				                         gcd_options::use_sr_gcd)
	{ }

	inline void run()
	{
		// always use subresultant PRS (to estimate the overhead
		// due to bad polynomial representation)
		g = gcd(a, b, 0, 0, false, options);
	}

	bool check() const
	{
		upoly g_gin;
		ex2upoly(g_gin, g);

		cbug_on(g_gin != g_check, "modular and old PRS GCD disagree: " <<
			"a = \"" << a << "\", b = \"" << b << "\", " <<
			"old sr_gcd = \"" << g_gin << "\", " <<
			"mod_gcd = \"" << g_check << "\"");
		return true;
	}

	void print_result(const double t) const
	{
		std::streamsize display_digits = std::cout.precision(2);
		std::cout << std::scientific;
		if (options)
			std::cout << "sr_gcd (old)";
		else
			std::cout << "heur_gcd (old)";
		std::cout << "\t: " << g.nops() << " " << t << std::endl;
		std::cout.precision(display_digits);
	}
};


static void
run_test(const std::string& s1, const std::string& s2,
	 bool use_sr_gcd = true, bool use_ex_sr_gcd = false)
{
	upoly a, b;
	ex ea, eb;
	read_srep(ea, eb, a, b, s1, s2);

	std::cout << "Non-trivial GCD, degree(a) = " << degree(a) <<
		", degree(b) = " << degree(b) << std::endl << std::flush;
	
	mod_gcd_test b_mod_gcd(a, b);
	run_benchmark(b_mod_gcd);

	heur_gcd_test b_heur_gcd(a, b, b_mod_gcd.g); 
	run_benchmark(b_heur_gcd);

	// Compute GCD using heuristic algorithm which operates on ex
	ex_sr_gcd_test b_ex_sr_gcd2(ea, eb, b_mod_gcd.g);
	b_ex_sr_gcd2.options = 0;
	run_benchmark(b_ex_sr_gcd2);

	if (use_sr_gcd) {
		sr_gcd_test b_sr_gcd(a, b, b_mod_gcd.g);
		run_benchmark(b_sr_gcd);
	}

	// GiNaC::sr_gcd (which operates on ex) is way too slow.
	if (use_ex_sr_gcd) {
		ex_sr_gcd_test b_ex_sr_gcd(ea, eb, b_mod_gcd.g);
		run_benchmark(b_ex_sr_gcd);
	}
}

static upoly make_random_upoly(const std::size_t deg);
// Make random polynomials, most likely they will be relatively prime.
// Check how different algorithms behave on such inputs.
static void
run_with_random_intputs(const unsigned d1, const unsigned d2)
{
	std::cout << "GCD of relatively prime polynomials a and b" <<
		std::endl << "degree(a) = " << d1 <<
		", degree(b) = " << d2 << std::endl << std::flush;
	upoly a = make_random_upoly(d1);
	upoly b = make_random_upoly(d2);
	mod_gcd_test b_mod(a, b);
	run_benchmark(b_mod);
	heur_gcd_test b_heur(a, b, b_mod.g);
	run_benchmark(b_heur);
	sr_gcd_test b_sr(a, b, b_mod.g);
	run_benchmark(b_sr);
}

int main(int argc, char** argv)
{
	std::cout << "timing univarite GCD" << std::endl << std::flush;
	run_with_random_intputs(100, 50);
	// run PRS gcd tests, both with upoly and ex
	run_test(p1_srep, p2_srep, true, true);
	bool tolerant_p = (run_expensive_timings_p() >= 1);
	bool masochist_p = (run_expensive_timings_p() >= 2);
	// By default PRS gcd tests are disabled, they are way too slow
	run_test(q1_srep_1 + q1_srep_2, q2_srep_1 + q2_srep_2, tolerant_p, masochist_p);
	// ditto
	run_test(r1_srep_1 + r1_srep_2 + r1_srep_3, r2_srep_1 + r2_srep_2 + r2_srep_3, masochist_p, masochist_p);
	std::cout << ". " << std::flush;
	return 0;
}

static upoly make_random_upoly(const std::size_t deg)
{
	static const cln::cl_I biggish("987654321098765432109876543210");
	upoly p(deg + 1);
	for (std::size_t i = 0; i <= deg; ++i)
		p[i] = cln::random_I(biggish);

	// Make sure the leading coefficient is non-zero
	while (zerop(p[deg])) 
		p[deg] = cln::random_I(biggish);
	return p;
}
